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(e) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) Source of Variation Regression Error Total Sum of Squares 1901.25 Degrees of Freedom 1901.25 Mean Square Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value= p-value State your conclusion. Reject Ho. We conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho We conclude that the relationship between x and y is significant. O Reject Ho We cannot conclude that the relationship between x and y is significant.

(e) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) Source of Variation Regression Error Total Sum of Squares 1901.25 Degrees of Freedom 1901.25 Mean Square Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value= p-value State your conclusion. Reject Ho. We conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho We conclude that the relationship between x and y is significant. O Reject Ho We cannot conclude that the relationship between x and y is significant.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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You may need to use the appropriate technology to answer this question. Consider the data. 72.92 3 8.539 12 6 (a) Compute the mean square error using equation s2 = MSE=. SSE n-2 20 14 0.636 Y₁ 55 40 55 5 15 (b) Compute the standard error of the estimate using equation s= √MSE= (c) Compute the estimated standard deviation of - (Round your answer to two decimal places.) D₁ using equation Sp (d) Use the t test to test the following hypotheses (a = 0.05): Ho: P₁ = 0 Find the p-value. (Round your answer to four decimal places.) p-value 0.0145 SSE n-2 Find the value of the test statistic. (Round your answer to three decimal places.) -5.106 (Round your answer to three decimal places.) -√2X41-42. T. (Round your answer to three decimal places.)
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Consider the data. 72.92 3 8.539 12 6 (a) Compute the mean square error using equation s2 = MSE=. SSE n-2 20 14 0.636 Y₁ 55 40 55 5 15 (b) Compute the standard error of the estimate using equation s= √MSE= (c) Compute the estimated standard deviation of - (Round your answer to two decimal places.) D₁ using equation Sp (d) Use the t test to test the following hypotheses (a = 0.05): Ho: P₁ = 0 Find the p-value. (Round your answer to four decimal places.) p-value 0.0145 SSE n-2 Find the value of the test statistic. (Round your answer to three decimal places.) -5.106 (Round your answer to three decimal places.) -√2X41-42. T. (Round your answer to three decimal places.)
State your conclusion. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. Reject Ho. We conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant. (e) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) Source of Variation Regression 1901.25 Error Sum Degrees of Squares of Freedom Total 1901.25 Mean Square Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value= p-value State your conclusion. Reject Ho. We conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant.
Transcribed Image Text:State your conclusion. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. Reject Ho. We conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant. (e) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) Source of Variation Regression 1901.25 Error Sum Degrees of Squares of Freedom Total 1901.25 Mean Square Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value= p-value State your conclusion. Reject Ho. We conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and y is significant. O Reject Ho. We cannot conclude that the relationship between x and y is significant.
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